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Goodwill (Schedule of Goodwill by Segment) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Goodwill [Roll Forward]    
Goodwill, net, beginning balance $ 788.9 $ 721.5
Acquisitions 48.6 78.0
Currency translation and other (40.4) (10.6)
Goodwill, net, ending balance 797.1 788.9
Industrial Gases - Americas    
Goodwill [Roll Forward]    
Goodwill, net, beginning balance 162.1 163.7
Acquisitions 0.0 0.0
Currency translation and other (5.8) (1.6)
Goodwill, net, ending balance 156.3 162.1
Industrial Gases - EMEA    
Goodwill [Roll Forward]    
Goodwill, net, beginning balance 424.4 402.4
Acquisitions 38.5 29.5
Currency translation and other (30.6) (7.5)
Goodwill, net, ending balance 432.3 424.4
Industrial Gases - Asia    
Goodwill [Roll Forward]    
Goodwill, net, beginning balance 171.9 135.2
Acquisitions 10.1 38.1
Currency translation and other (3.5) (1.4)
Goodwill, net, ending balance 178.5 171.9
Industrial Gases - Global    
Goodwill [Roll Forward]    
Goodwill, net, beginning balance 20.1 20.2
Acquisitions 0.0 0.0
Currency translation and other (0.5) (0.1)
Goodwill, net, ending balance 19.6 20.1
Corporate and other    
Goodwill [Roll Forward]    
Goodwill, net, beginning balance 10.4 0.0
Acquisitions 0.0 10.4
Currency translation and other 0.0 0.0
Goodwill, net, ending balance $ 10.4 $ 10.4